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devlian [24]
3 years ago
9

Having some trouble with this...pls help (in fraction form)

Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Answer:

\frac{17}{6} or 2\frac{5}{6}

Step-by-step explanation:

1.Find the Least Common Denominator (LCD)

 LCD = 6

2.Make the denominators the same as the LCD.

   2+\frac{1*3}{2*3}  + \frac{1*2}{3*2}

3.Simplify. Denominators are now the same

   2+\frac{3}{6} + \frac{2}{6}

4. Join the denominators

   2+\frac{3+2}{6}

5.Simplify

   2\frac{5}{6} = \frac{17}{6}

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Some sales positions pay a commission if sales exceed a set quota. Yolanda Gonzalez is paid $2,000 per month plus a commission o
max2010maxim [7]
It would be $2000 for that month.
4 0
3 years ago
Find the first three terms of the sequence below. Tn=n2+2n+9​
klasskru [66]

\\ \bull\tt\longrightarrow T_n=n^2+2n+9

\\ \bull\tt\longrightarrow T_1=1^2+2(1)+9=1+2+9=12

\\ \bull\tt\longrightarrow T_2=2^2+2(2)+9=4+4+9=17

\\ \bull\tt\longrightarrow T_3=3^2+2(3)+9=9+6+9=24

8 0
3 years ago
Since ABCD is a parallelogram, the two pairs of _________ sides (AB¯ and CD¯, as well as AD¯ and BC¯) are congruent. Then, since
Marysya12 [62]

Answer:

1. Opposite

2. angle-side-angle criterion

Step-by-step explanation:

Since ABCD is a parallelogram, the two pairs of <u>(opposite)</u> sides (AB¯ and CD¯, as well as AD¯ and BC¯) are congruent. Then, since ∠9 and ∠11 are vertical angles, it can be concluded that ∠9≅∠11. Since ABCD is a parallelogram, AB¯∥CD¯. Since ∠2 and ∠5 are alternate interior angles along these parallel lines, the Alternate Interior Angles Theorem allows that ∠2≅∠5. Since two angles of △AEB are congruent to two angles of △CED, the Third Angles Theorem supports that ∠8≅∠3. Therefore, using the <u>(angle-side-angle criterion)</u>, it can be stated that △AEB≅△CED. Then, applying the definition of congruent triangles, it can be stated that AE¯≅CE¯, which makes E the midpoint of AC¯. Use a similar argument to prove that △AED≅△CEB; then it can be concluded that E is also the midpoint of BD¯. Since the midpoint of both line segments is the same point, the segments bisect each other by definition. Match each number (1 and 2) with the word or phrase that correctly fills in the corresponding blank in the proof.

A parallelogram posses the following features:

   1. The opposite sides are parallel.

   2. The opposite sides are congruent.

   3. It has supplementary consecutive angles.

   4. The diagonals bisect each other.

7 0
3 years ago
I really need help here I don’t know how to do this
sattari [20]

Answer:

Second box for Justifications: Subtraction Property of equality

Third box for steps: \frac{2}{3} y=-6

Fourth box for steps: \frac{2}{3} y*\frac{3}{2} =-6*\frac{3}{2}

Fourth box for Justifications: Multiplication Property of equality

Fifth box for steps: y=-9

7 0
3 years ago
Decrease 18000 by 6%
Shtirlitz [24]

Answer:

16920

Step-by-step explanation:

6% of 18000 is 1080 so 18000-1080 is 16920

7 0
3 years ago
Read 2 more answers
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